ERROR ANALYSIS OF FORCED DISCRETE MECHANICAL SYSTEMS

Javier Fernandez, Sebastian Elias Graiff Zurita, Sergio Grillo

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The purpose of this paper is to perform an error analysis of the variational integrators of mechanical systems subject to external forcing. Es- sentially, we prove that when a discretization of contact order r of the La- grangian and force are used, the integrator has the same contact order. Our analysis is performed first for discrete forced mechanical systems defined over TQ, where we study the existence of ows, the construction and properties of discrete exact systems and the contact order of the ows (variational integra- tors) in terms of the contact order of the original systems. Then we use those results to derive the corresponding analysis for the analogous forced systems defined over Q x Q.

Original languageEnglish
Pages (from-to)533-606
Number of pages74
JournalJournal of Geometric Mechanics
Volume13
Issue number4
DOIs
Publication statusPublished - Dec 2021

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Geometry and Topology
  • Control and Optimization
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'ERROR ANALYSIS OF FORCED DISCRETE MECHANICAL SYSTEMS'. Together they form a unique fingerprint.

Cite this